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Finding the Fourth Proportional to 7,070.67, 9,754.73 and 4,085.96

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Solution

The fourth proportional to 7,070.67, 9,754.73 and 4,085.96 is: 5,637.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.67 : 9,754.73 = 4,085.96 : x
  2. Step 2: Convert to fraction form
    7,070.67/9,754.73 = 4,085.96/x
  3. Step 3: Cross multiply
    7,070.67x = 9,754.73 × 4,085.96
  4. Step 4: Simplify right side
    7,070.67x = 39,857,367.39
  5. Step 5: Solve for x
    x = 39,857,367.39/7,070.67
  6. Step 6: Final answer
    x = 5,637.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.